Volterra integral inclusions via Henstock-Kurzweil-Pettis integral
Bianca Satco (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we prove the existence of continuous solutions of a Volterra integral inclusion involving the Henstock-Kurzweil-Pettis integral. Since this kind of integral is more general than the Bochner, Pettis and Henstock integrals, our result extends many of the results previously obtained in the single-valued setting or in the set-valued case.